Experimental demonstrations of tunable correlation effects in magic-angle twisted bilayer graphene have put two-dimensional moiré quantum materials at the forefront of condensed-matter research. Other twisted few-layer graphitic structures, boron-nitride, and homo- or hetero-stacks of transition metal dichalcogenides (TMDs) have further enriched the opportunities for analysis and utilization of correlations in these systems. Recent experiments within the latter material class confirmed the relevance of many-body interactions and demonstrated the importance of their extended range. Since the interaction, its range, and the filling can be tuned experimentally by twist angle, substrate engineering and gating, we here explore Fermi surface instabilities and resulting phases of matter of hetero-bilayer TMDs. Using an unbiased renormalization group approach, we establish in particular that hetero-bilayer TMDs are platforms to realize topological superconductivity with winding number \(| {{{\mathcal{N}}}}| =4\). We show that this state reflects in pronounced experimental signatures, such as distinct quantum Hall features.

魔角扭曲双层石墨烯中可调相关效应的实验证明将二维莫尔量子材料置于凝聚态研究的前沿。其他扭曲的几层石墨结构、氮化硼和过渡金属二硫属化物 (TMD) 的同质或异质堆叠进一步丰富了分析和利用这些系统中相关性的机会。最近在后一种材料类别中的实验证实了多体相互作用的相关性，并证明了它们扩展范围的重要性。由于相互作用、其范围和填充可以通过扭转角、基板工程和门控实验调整，我们在这里探索费米表面不稳定性和异质双层 TMD 的物质相。\(| {{{\mathcal{N}}}}| =4\)。我们表明，这种状态反映在明显的实验特征中，例如不同的量子霍尔特征。